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40 questions · self-marked practice — reveal the answer and mark yourself.

Question 11 Mark
Name the given polygon in the figure.
Answer
The given figure is of octagon because it is made of $8$ line segments.
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Question 31 Mark
Name the below polygon.
Answer
The given figure is a triangle as we can see it is made of $3$ line segments and is closed.
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Question 41 Mark
Name the given polygon.
Answer
As the given figure is made of $4$ line segments, therefore it is a quadrilateral.
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Question 51 Mark
Examine whether the given figure is polygon and if not why?

Answer
No, it’s not a polygon as it is not only made of line segments but has a circular part as well.
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Question 61 Mark
Examine whether the given figure is polygon and if not why?

Answer
No, it is not a polygon. It’s a circle and is not made of line segments.
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Question 71 Mark
Examine whether the given figure is polygon and if not why?
Answer
Yes, it is a polygon as it is made of $6$ line segments and is closed.
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Question 81 Mark
Examine whether the given figure is polygon and if not why?

Answer
No, it is not a polygon because it is not a closed figure.
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Question 91 Mark
Name the type of triangle: $\triangle XYZ$ with $\angle Y = 90^\circ $ and $XY = YZ.$
Answer
$\triangle XYZ$ Right-angled isosceles angle as it has one right angle of $90^\circ$ and two equal sides.
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Question 101 Mark
Name the type of triangle: $\triangle DEF$ with $\angle D = 90°$
Answer
$\triangle DEF$ is a Right-angled triangle as it has $\angle  D = 90^\circ$
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Question 111 Mark
Name the type of triangle: $\triangle ABC$ with $AB = 8.7 \ cm, AC = 7 \ cm$ and $BC = 6 \ cm$
Answer
$\triangle ABC$ is a scalene triangle as it has three unequal sides.
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Question 121 Mark
Name the type of triangle: Triangle with lengths of sides $7 \ cm, 8 \ cm$ and $9 \ cm$
Answer
It is a scalene triangle as it has all unequal sides.
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Question 131 Mark
Find the angle measure between the hands of the clock in a figure:
Answer
Required angle is $180^\circ $ as it is forming a straight line which is always of $180^\circ .$
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Question 141 Mark
Find the angle measure between the hands of the clock in a figure:
Answer
Required angle = $\frac{360}{12}= 30^\circ $
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Question 151 Mark
Find the angle measure between the hands of the clock in a figure:
Answer
Clearly, the angle is $90^\circ $
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Question 161 Mark
Find the measure of the angle shown in figure. (First estimate with your eyes and then find the actual measure with a protractor).
Answer
By measuring the angle with the help of protractor we get the angle as $135^\circ$ in the figure.
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Question 171 Mark
Find the measure of the angle shown in figure. (First estimate with your eyes and then find the actual measure with a protractor).
Answer
By measuring the angle with the help of protractor we see that the angle is $65$ degree.
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Question 181 Mark
Find the measure of the angle shown in figure. (First estimate with your eyes and then find the actual measure with a protractor).
Answer
By measuring the angle with the help of protractor we find that the angle is $130^{\circ}$
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Question 191 Mark
Find the measure of the angle shown in figure. (First estimate with your eyes and then find the actual measure with a protractor).
Answer
By measuring the figure with the help of protractor, we get that the measure of the angle as $40^\circ$.
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Question 201 Mark
When the sum of the measures of two angles is that of a straight angle and if one of them is acute then the other should be ________.
Answer
Obtuse angle
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Question 211 Mark
When the sum of the measures of two angles is that of a right angle, then each one of them is ________.
Answer
Acute angle
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Question 251 Mark
Measure the angle given below using a Protractor and write down the measure.
Answer
On measuring with a protractor the measures of the required angles are $60^\circ$, $130^\circ$ and $90^\circ$
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Question 261 Mark
Measure the angle given below using the Protractor and write down the measure.
Answer
The measure of the angle comes out to be $90^\circ$
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Question 271 Mark
Measure the angle given below using the protractor and write down the measure.
Answer
Using protractor the measure comes out to be $120^\circ$
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Question 281 Mark
Measure the angle given below using the Protractor and write down the measure.
Answer
On measuring the angle we get its value as $45^\circ$
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Question 291 Mark
Write down the measures of some obtuse angles. Give at least two examples.
Answer
Obtuse angle is the angle which is greater than $90^\circ $ but less than $180^\circ .$ The examples are: $110^\circ , 120^\circ , 135^\circ$ and $170^\circ .$
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Question 301 Mark
Write down the measures of some acute angles. Give at least two examples.
Answer
Acute angle is the angle whose measure is less than $90^\circ $ so the examples are; $30^\circ , 45^\circ , 60^\circ $ and $70^\circ .$
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Question 331 Mark
Investigate: In the given figure, protractor shows $30^\circ .$ Look at the same figure through a magnifying glass. Does the angle becomes larger? Does the size of the angle change?
Answer
No.
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Question 341 Mark
Classify the angle as right, straight, acute, obtuse or reflex:
Answer
It is an Acute angle as its measure is less than $90^\circ$.
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Question 351 Mark
Classify the angle given below as right, straight, acute, obtuse or reflex:
Answer
It is a Straight angle as its measure is $180^\circ$.
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Question 361 Mark
Classify the angle as right, straight, acute, obtuse or reflex:
Answer
It is a Reflex angle as its measure is more than $180^{\circ}$ but less $360^{\circ}$.
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Question 371 Mark
Classify the angle as right, straight, acute, obtuse or reflex:
Answer
Since its measure is $90^{\circ}$ . It is a Right angle.
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Question 381 Mark
Classify the angle as right, straight, acute, obtuse or reflex :
Answer
It is an obtuse angle because its measure lies between $90^{\circ}$ and $180^{\circ}$.
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Question 391 Mark
Classify the angle as right, straight, acute, obtuse or reflex:
Answer
Since the measure is less than $90^{\circ}$, it is an acute angle.
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Question 401 Mark
If $A, B, C$ are three points on a line such that $AB = 5\ cm, BC = 3\ cm$ and $AC = 8\ cm$, which one of them lies between the other two$?$
Answer
The point $B$ lies between the point $A$ and Point $C.$
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